What is the sum from n=0 to infinity of (0^n)/(n!) ?

The sum from n=0 to infinity of (0^n)/(n!) is 0

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sum from n=0 to infinity of (0^n)/(n!)

n = 0 \sum \infty \frac{0 ^{n}}{n !}

0

Solution steps

n = 0 \sum \infty \frac{0 ^{n}}{n !}

Simplify

= n = 0 \sum \infty 0

\sum 0 = 0

= 0

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What is the sum from n=0 to infinity of (0^n)/(n!) ?
The sum from n=0 to infinity of (0^n)/(n!) is 0